With the .0325 shim and .0075 backlash, I got the following results:
Six months later, when the vehicle was fully reassembled from other retrofits, I was able to drive it. It was quiet except for during very light throttle conditions, when it had a pretty noticeable whine. So, I wrote the original post looking for suggestions. As Demonic mentioned, the pattern had too much of a sharp line near the root. The Yukon Gear instruction sheet also says that it is more important to center the pattern between the root and the face of the tooth than to center it between the heel and toe. I decided to tear the axle back down and try different shims. I took some pictures of the gear pattern, and it looked pretty much the same as before I drove it. The backlash was also unchanged (I only drove it 10-20 miles.)